Results 31 to 40 of about 21,639 (263)
Splitting spectral element method for fractional reaction-diffusion equations
Journal of Algorithms & Computational Technology, 2020 In this paper, we propose a second-order operator splitting spectral element method for solving fractional reaction-diffusion equations. In order to achieve a fast second-order scheme in time, we decompose the original equation into linear and nonlinear ...
Qi Li, Fangying Song
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Leapfrog/Finite Element Method for Fractional Diffusion Equation
The Scientific World Journal, 2014 We analyze a fully discrete leapfrog/Galerkin finite element method for the numerical solution of the space fractional order (fractional for simplicity) diffusion equation.
Zhengang Zhao, Yunying Zheng
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Analogue Realization of Fractional-Order Dynamical Systems
Entropy, 2013 As it results from many research works, the majority of real dynamical objects are fractional-order systems, although in some types of systems the order is very close to integer order.
Ladislav Pivka +5 more
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Results in Applied Mathematics, 2022 In this article, we construct an efficient numerical algorithm with the second-order time accuracy for a two-dimensional nonlinear fourth-order fractional wave equation.
Jiarui Wang, Yang Liu, Cao Wen, Hong Li
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Human Hypertension Blood Flow Model Using Fractional Calculus
Frontiers in Physiology, 2022 The blood flow dynamics in human arteries with hypertension disease is modeled using fractional calculus. The mathematical model is constructed using five-element lumped parameter arterial Windkessel representation.
Mohamed A. Bahloul +4 more
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Journal of Advanced Research, 2020 The work proposes a synthesis method of capacitive fractional-order impedance element which is composed of homogenous distributed resistive-capacitive (RC) structures (lines).
Pyotr Arkhipovich Ushakov +5 more
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Fractional-Order Chaotic Memory with Wideband Constant Phase Elements [PDF]
Entropy, 2020 This paper provides readers with three partial results that are mutually connected. Firstly, the gallery of the so-called constant phase elements (CPE) dedicated for the wideband applications is presented. CPEs are calculated for 9° (decimal orders) and 10° phase steps including ¼, ½, and ¾ orders, which are the most used mathematical orders between ...
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Electromagnetic Interpretation of Fractional-Order Elements
Journal of Modern Physics, 2017 Fractional circuits have attracted extensive attention of scholars and researchers for their superior performance and potential applications. Recently, the fundamentals of the conventional circuit theory were extended to include the new generalized elements and fractional-order elements.
Guishu Liang, Jiawei Hao, Dongqing Shan
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Extended Darlington Synthesis of Fractional Order Immittance Function With Two Element Orders
IEEE Access, 2019 Actual circuits have fractional order characteristics essentially. With the widespread application of fractional order circuits and the great strides in the manufacturing of fractional order elements in recent years, passive synthesis of fractional order
Guishu Liang, Zheng Qi
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Vibration Equation of Fractional Order Describing Viscoelasticity and Viscous Inertia
Open Physics, 2019 The steady state response of a fractional order vibration system subject to harmonic excitation was studied by using the fractional derivative operator −∞Dtβ,${}_{-\infty} D_t^\beta,$where the order β is a real number satisfying 0 ≤ β ≤ 2.
Duan Jun-Sheng, Xu Yun-Yun
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